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Is 9 a cube?

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No, 9 is not a cube. The cube of 2 is 8 and the cube of 3 is 27. Since 9 doesn’t fall between these two cubes as a result of cubing a whole number, 9 isn’t a cube.

Class 8 Mathematics Ganita Prakash A Square and A Cube

Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube NCERT solutions

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  1. To check if 9 is a cube, compare it with nearby cube numbers.
    2³ = 8
    3³ = 27
    Since 9 lies between 8 and 27 but isn’t the cube of any whole number, it cannot be a cube. Also, its prime factorisation is 3 × 3 and we cannot group the factors in threes. So, 9 is not a cube.

     

    For more NCERT Solutions for Class 8 Mathematics Ganita Prakash Chapter 1 A Square and A Cube Extra Questions & Answer:

    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/ganita-prakash-chapter-1/

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